Optimal Riemannian \(L^p\)-Gagliardo-Nirenberg inequalities revisited

DOI10.1016/j.jde.2012.12.013zbMath1273.53028OpenAlexW2088595645MaRDI QIDQ1939308

Marcos Montenegro, Jurandir Ceccon

Publication date: 4 March 2013

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2012.12.013

zbMATH Keywords

sharp Sobolev inequalitiescompactnessextremal mapsde Giorgi-Nash-Moser estimates

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (10)

Optimal normed Sobolev type inequalities on manifolds. I: The Nash prototype ⋮ Sharp \(L^p\)-Moser inequality on Riemannian manifolds ⋮ On a regularized family of models for homogeneous incompressible two-phase flows ⋮ Extremals for sharp GNS inequalities on compact manifolds ⋮ Sharp constants in Riemannian \(L^p\)-Gagliardo-Nirenberg inequalities ⋮ On a regularized family of models for the full Ericksen-Leslie system ⋮ The sharp Poincaré-Sobolev type inequalities in the hyperbolic spaces \(\mathbb{H}^n\) ⋮ Sharp \(L^p\)-entropy inequalities on manifolds ⋮ Optimal Hardy-Sobolev inequalities on compact Riemannian manifolds ⋮ A Gagliardo-Nirenberg-type inequality and its applications to decay estimates for solutions of a degenerate parabolic equation

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